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106362441 = 3211818049
BaseRepresentation
bin1100101011011…
…11011001001001
321102010202211200
412111233121021
5204212044231
614315414413
72431031403
oct625573111
9242122750
10106362441
1155047749
122b754409
1319060773
14101a9b73
15950ebe6
hex656f649

106362441 has 6 divisors (see below), whose sum is σ = 153634650. Its totient is φ = 70908288.

The previous prime is 106362407. The next prime is 106362463. The reversal of 106362441 is 144263601.

106362441 is a `hidden beast` number, since 1 + 0 + 636 + 24 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95472441 + 10890000 = 9771^2 + 3300^2 .

It is not a de Polignac number, because 106362441 - 29 = 106361929 is a prime.

It is a super-2 number, since 2×1063624412 = 22625937710956962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106362491) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5909016 + ... + 5909033.

It is an arithmetic number, because the mean of its divisors is an integer number (25605775).

Almost surely, 2106362441 is an apocalyptic number.

It is an amenable number.

106362441 is a deficient number, since it is larger than the sum of its proper divisors (47272209).

106362441 is a wasteful number, since it uses less digits than its factorization.

106362441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11818055 (or 11818052 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106362441 is about 10313.2168114512. The cubic root of 106362441 is about 473.8011370043.

It can be divided in two parts, 1063 and 62441, that added together give a square (63504 = 2522).

The spelling of 106362441 in words is "one hundred six million, three hundred sixty-two thousand, four hundred forty-one".

Divisors: 1 3 9 11818049 35454147 106362441